Question

If the function f:N→N is defined as f(x)=3x+2 x∈N, then the preimage of 29 is

Answer 1

Given : f : N → N is a function defined as f(x)=3x+2, x∈N.

To find : Pre image of 29.

Solution :

Pre image is the set of all domains of the function.

In the question we are given image ( value of y ) and we have to find Pre image ( value of x ).

So,

=> f(x) = 3x + 2

=> y = 3x + 2

=> 29 = 3x + 2

=> 29 -2=3x

=> 27=3x

=> 27/3=x

=> 9=x

Hence the pre image corresponding to the image 29 is 9.